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charle [14.2K]
3 years ago
7

(-4k⁴+14+3k²)+(3k⁴-14k²-8) write answer in standard form

Mathematics
1 answer:
Shkiper50 [21]3 years ago
5 0
Dont click the link the bot sent you they can hack you
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The lines represented by the equations 5y + 2x = –25 and y= -5/2x – 1 are?
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the same line

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Find the area of the region in two ways. a. Using integration with respect to x. b. Using geometry. 9-x
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Answer: hello your question is incomplete attached below is the complete question

answer :

a)   \int\limits^3_0 {(10-x)-(x+4)} \, dx     ( option D )

b) A =  1/2 (6)(3)   ( option B )

c) Area of shaded region = 9

Step-by-step explanation:

<u>a) Using integration with respect to x </u>

Area =   \int\limits^7_4 {(y-4)} \, dy + \int\limits^a_7 {(10-y)} \, dy         ( note a = 10 )

          = y^2/2 - 4y |⁷₄  + 10y - y^2/2 |¹⁰₇

          = 33/2 - 12 + 30 - 51/2   = 9

hence the best integral from the options attached is option D

\int\limits^3_0 {(10-x)-(x+4)} \, dx

= [ 10x - x^2 /2 - x^2/2 - 9x ] ³₀

= 30 - 9/2 - 9/2 - 12  = 9

<u>b) Using Geometry </u>

Area = 1/2 * base * height

        = 1/2 * 6 * 3

        = 9

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The data reflects the amount of time spent on homework (x), paired with a corresponding test grade (y).
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